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Finding the Fourth Proportional to 4,700.14, 7,049.21 and 3,029.26

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Solution

The fourth proportional to 4,700.14, 7,049.21 and 3,029.26 is: 4,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.14 : 7,049.21 = 3,029.26 : x
  2. Step 2: Convert to fraction form
    4,700.14/7,049.21 = 3,029.26/x
  3. Step 3: Cross multiply
    4,700.14x = 7,049.21 × 3,029.26
  4. Step 4: Simplify right side
    4,700.14x = 21,353,839.49
  5. Step 5: Solve for x
    x = 21,353,839.49/4,700.14
  6. Step 6: Final answer
    x = 4,543.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.